God may not play dice with the universe, but something strange is going on with the prime numbers.-Paul Erdős

… there have been within the experience of people now living at least three serious crises… There have been two such crises in physics—namely, the conceptual soulsearching connected with the discovery of relativity and the conceptual difficulties connected with discoveries in quantum theory… The third crisis was in mathematics. It was a very serious conceptual crisis, dealing with rigor and the proper way to carry out a correct mathematical proof. In view of the earlier notions of the absolute rigor of mathematics, it is surprising that such a thing could have happened, and even more surprising that it could have happened in these latter days when miracles are not supposed to take place. Yet it did happen.-John von Neumann

Under these conditions it is no wonder, that the movement of atheists, which declares religion to be just a deliberate illusion, invented by power-seeking priests, and which has for the pious belief in a higher Power nothing but words of mockery, eagerly makes use of progressive scientific knowledge and in a presumed unity with it, expands in an ever faster pace its disintegrating action on all nations of the earth and on all social levels. I do not need to explain in any more detail that after its victory not only all the most precious treasures of our culture would vanish, but — which is even worse — also any prospects at a better future.-Max Planck

The usual touchstone, whether that which someone asserts is merely his persuasion — or at least his subjective conviction, that is, his firm belief — is betting. It often happens that someone propounds his views with such positive and uncompromising assurance that he seems to have entirely set aside all thought of possible error. A bet disconcerts him. Sometimes it turns out that he has a conviction which can be estimated at a value of one ducat, but not of ten. For he is very willing to venture one ducat, but when it is a question of ten he becomes aware, as he had not previously been, that it may very well be that he is in error.-Immanuel Kant

The view that machines cannot give rise to surprises is due, I believe, to a fallacy to which philosophers and mathematicians are particularly subject. This is the assumption that as soon as a fact is presented to a mind all consequences of that fact spring into the mind simultaneously with it. It is a very useful assumption under many circumstances, but one too easily forgets that it is false.-Alan Turing

We shall not cease from exploration And the end of all our exploring Will be to arrive where we started And know the place for the first time.-T.S. Eliot

The longing to behold this pre-established harmony is the source of the inexhaustible patience and perseverance with which Planck has devoted himself, as we see, to the most general problems of our science, refusing to let himself be diverted to more grateful and more easily attained ends. I have often heard colleagues try to attribute this attitude of his to extraordinary will-power and discipline – wrongly, in my opinion. The state of mind which enables a man to do work of this kind is akin to that of the religious worshiper or the lover; the daily effort comes from no deliberate intention or program, but straight from the heart. There he sits, our beloved Planck, and smiles inside himself at my childish playing-about with the lantern of Diogenes.-Albert Einstein, on Planck

The markets can remain irrational longer than you can remain solvent.-John Meynard Keynes

Each new generation born is in effect an invasion of civilization by little barbarians, who must be civilized before it is too late.-Thomas Sowell

Theoretical physicists read in the book of nature — but experimentalists turn its pages.-Walter Greiner

Discovery is the privilege of the child: the child who has no fear of being once again wrong, of looking like an idiot, of not being serious, of not doing things like everyone else.-Alexander Grothendieck

Human reason has this peculiar fate that in one species of its knowledge it is burdened by questions which, as prescribed by the very nature of reason itself, it is not able to ignore, but which, as transcending all its powers, it is also not able to answer.-Immanuel Kant

It is impossible to be a mathematician without being a poet in soul.-Sofia Kovalevskya

Bring forward what is true. Write it so that it is clear. Defend it to your last breath.-Ludwig Boltzmann

Where did we get that (equation) from? Nowhere. It is not possible to derive it from anything you know. It came out of the mind of Schrödinger. -Richard Feynman

Nothing of what is visible, apart from light and color, can be perceived by pure sensation, but only by discernment, inference, and recognition, in addition to sensation.-Alhazen

There are two very different sorts of challenges that I see for AI–first, our systems are pathetic compared to biological systems…and secondly, moderately good performance from some approaches has sociologically led to winner-take-all trends in research.-Rodney Brooks

The human mind, no matter how highly trained, cannot grasp the universe. We are in the position of a little child, entering a huge library whose walls are covered to the ceiling with books in many different tongues. The child knows that someone must have written those books. It does not know who or how. It does not understand the languages in which they are written. The child notes a definite plan in the arrangement of the books, a mysterious order, which it does not comprehend, but only dimly suspects. That, it seems to me, is the attitude of the human mind, even the greatest and most cultured, toward God. We see a universe marvelously arranged, obeying certain laws, but we understand the laws only dimly. Our limited minds cannot grasp the mysterious force that sways the constellations.-Albert Einstein

McCarthy has given a couple of reasons for using the term “artificial intelligence.” The first was to distinguish the subject matter proposed for the Dartmouth workshop from that of a prior volume of solicited papers, titled Automata Studies, co-edited by McCarthy and Shannon, which largely concerned the esoteric and rather narrow mathematical subject called “automata theory.” The second, according to McCarthy was “to escape association with ‘cybernetics.’ Its concentration on analog feedback seemed misguided, and I wished to avoid having either to accept Norbert Wiener as a guru or having to argue with him.”-Nils Nilsson, The Quest for Artificial Intelligence